123144042333013 has 16 divisors (see below), whose sum is σ = 132925506658560. Its totient is φ = 113406781650624.

The previous prime is 123144042333007. The next prime is 123144042333017. The reversal of 123144042333013 is 310333240441321.

It is a cyclic number.

It is not a de Polignac number, because 123144042333013 - 2⁴¹ = 120945019077461 is a prime.

It is a super-2 number, since 2×123144042333013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123144042333013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123144042333017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34024395 + ... + 37469287.

It is an arithmetic number, because the mean of its divisors is an integer number (8307844166160).

Almost surely, 2^{123144042333013} is an apocalyptic number.

123144042333013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123144042333013 is a deficient number, since it is larger than the sum of its proper divisors (9781464325547).

123144042333013 is a wasteful number, since it uses less digits than its factorization.

123144042333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451308.

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 123144042333013 its reverse (310333240441321), we get a palindrome (433477282774334).

The spelling of 123144042333013 in words is "one hundred twenty-three trillion, one hundred forty-four billion, forty-two million, three hundred thirty-three thousand, thirteen".